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Finding the Fourth Proportional to 12,777.96, 19,167.74 and 4,013.22

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Solution

The fourth proportional to 12,777.96, 19,167.74 and 4,013.22 is: 6,020.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.96 : 19,167.74 = 4,013.22 : x
  2. Step 2: Convert to fraction form
    12,777.96/19,167.74 = 4,013.22/x
  3. Step 3: Cross multiply
    12,777.96x = 19,167.74 × 4,013.22
  4. Step 4: Simplify right side
    12,777.96x = 76,924,337.46
  5. Step 5: Solve for x
    x = 76,924,337.46/12,777.96
  6. Step 6: Final answer
    x = 6,020.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.